2005 iTest Problems/Problem 3

Problem

Carrie, Miranda, Charlotte, and Samantha are sitting at a table with $5$ numbered chairs (numbered $1$ through $5$ ). One chair is left open for Big, should he decide to join the four for lunch. In how many distinct ways can the four women occupy the table?

Solution 1

We have to arrange 5 elements in a row. These are Carrie, Miranda, Charlotte, Samantha, and the empty seat. Since there are five things to arrange, our answer is $5!=\boxed{120}$

2005 iTest (Problems, Answer Key)
Preceded by: Problem 2	Followed by: Problem 4
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2005 iTest Problems/Problem 3

Problem

Solution 1

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